879112159200 has 576 divisors, whose sum is σ = 3479942269440. Its totient is φ = 212414976000.

The previous prime is 879112159183. The next prime is 879112159231. The reversal of 879112159200 is 2951211978.

It is a super-2 number, since 2×879112159200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73887652 + ... + 73899548.

It is an arithmetic number, because the mean of its divisors is an integer number (6041566440).

Almost surely, 2^879112159200 is an apocalyptic number.

879112159200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879112159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739971134720).

879112159200 is an abundant number, since it is smaller than the sum of its proper divisors (2600830110240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

879112159200 is a wasteful number, since it uses less digits than its factorization.

879112159200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248 (or 12229 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 879112159200 in words is "eight hundred seventy-nine billion, one hundred twelve million, one hundred fifty-nine thousand, two hundred".